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Finding the Third Proportional to 428.81 and 590.63

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Solution

The third proportional to 428.81 and 590.63 is: 813.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.81 : 590.63 = 590.63 : x
  2. Step 2: Convert to fraction form
    428.81/590.63 = 590.63/x
  3. Step 3: Cross multiply
    428.81x = 590.63 × 590.63
  4. Step 4: Simplify right side
    428.81x = 348,837.89
  5. Step 5: Solve for x
    x = 348,837.89/428.81
  6. Step 6: Final answer
    x = 813.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.